Abstract

We propose a method for constructing asymptotic representations of solutions of linear degenerate second-order ordinary differential equations, which permits one to construct exact asymptotics of solutions in a neighborhood of the degeneracy point. An example where one finds a power-law asymptotics is given.

中文翻译：

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退化二阶微分方程解的一阶渐近

摘要

我们提出了一种构造线性简并二阶常微分方程解的渐近表示的方法，该方法允许在简并点的邻域中构造精确的渐近解。给出了一个发现幂律渐近的例子。